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21223533532212 = 22321126143793139
BaseRepresentation
bin1001101001101011111010…
…01011010101010000110100
32210010221122112122220211100
410310311331023111100310
510240211244041012322
6113045542352010100
74320230642321004
oct464657513252064
983127575586740
1021223533532212
116842939423200
12246931a530930
13bac4a835361b
14535320078004
1526c115b1edac
hex134d7d2d5434

21223533532212 has 108 divisors (see below), whose sum is σ = 58978550292480. Its totient is φ = 6430318746720.

The previous prime is 21223533532193. The next prime is 21223533532249.

21223533532212 is a `hidden beast` number, since 2 + 1 + 223 + 53 + 353 + 22 + 12 = 666.

21223533532212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212235335322122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26362339 + ... + 27155477.

Almost surely, 221223533532212 is an apocalyptic number.

21223533532212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223533532212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29489275146240).

21223533532212 is an abundant number, since it is smaller than the sum of its proper divisors (37755016760268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21223533532212 is a wasteful number, since it uses less digits than its factorization.

21223533532212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799314 (or 799298 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 2122353 and 3532212, that added together give a palindrome (5654565).

The spelling of 21223533532212 in words is "twenty-one trillion, two hundred twenty-three billion, five hundred thirty-three million, five hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6143 12286 18429 24572 36858 55287 67573 73716 110574 135146 202719 221148 270292 405438 608157 743303 793139 810876 1216314 1486606 1586278 2229909 2379417 2432628 2973212 3172556 4459818 4758834 6689727 7138251 8724529 8919636 9517668 13379454 14276502 17449058 26173587 26758908 28553004 34898116 52347174 78520761 95969819 104694348 157041522 191939638 287909457 314083044 383879276 575818914 863728371 1151637828 1727456742 3454913484 4872252877 9744505754 14616758631 19489011508 29233517262 43850275893 53594781647 58467034524 87700551786 107189563294 160784344941 175401103572 214379126588 321568689882 482353034823 589542598117 643137379764 964706069646 1179085196234 1768627794351 1929412139292 2358170392468 3537255588702 5305883383053 7074511177404 10611766766106 21223533532212